Los Angeles , California -LRB- CNN -RRB- -- Simon Monjack 's death two months ago was caused by acute pneumonia and severe anemia , according to a Los Angeles County coroner spokesman .

`` Just like Brittany , '' Assistant Chief Coroner Ed Winter said , referring to actress Brittany Murphy , Monjack 's wife , who died five months earlier .

Some prescription drugs were detected in his system , but not in lethal levels , Winter said .

Sharon Murphy issued a statement saying the preliminary findings should `` stop the reckless innuendos that my daughter and son-in-law misused any kind of prescription medications . ''

`` It is with great relief that Simon 's preliminary autopsy findings have been released , so the media speculations can stop , '' Murphy said . `` As I was sure of , just like my daughter Brittany , there was no kind of drug overdose . ''

One more test will be conducted , at Monjack 's family 's request , before a full autopsy report is released in about two weeks , Winter said .

Monjack , a 39-year-old British screenwriter , was found dead at his Hollywood home May 23 , according to the coroner 's office . Murphy , his wife of less than three years , died in the same home last December .

Murphy , 32 , died from a combination of pneumonia , an iron deficiency and multiple drug intoxication , a coroner said . The drugs involved were legal and used to treat a respiratory infection , according to an autopsy .

The often bubbly , free-spirited actress appeared in films such as `` Clueless , '' `` 8 Mile , '' `` Do n't Say a Word '' and `` Girl , Interrupted . ''

She also lent her voice to animated works , including the movie `` Happy Feet '' -- in which she also sang -- and a regular role on the animated TV series `` King of the Hill . ''

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NEW : Murphy 's mom : `` Reckless innuendos '' about drugs should stop

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The coroner says he found that drugs did n't play a role in the British screenwriter 's death

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Monjack 's cause of death was the same as that of his wife , Brittany Murphy , he says

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Murphy died of a combination of pneumonia and an iron deficiency , the coroner says